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Desiree’s house is located at the point (−8, 6). Her driveway is perpendicular to Union Street, which is represented by the equation y=15x+6 What is the equation of the line that represents Desiree’s driveway?

User Nick Dowell
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1 Answer

16 votes
16 votes

Given data:

The given point at which Desiree's house located is (-8,6).

The equatiion of the line is y=15x+6.

The standard expression for the equation of the line is,

y=mx+6.

Compare the given equation with the standard equation of the line.

m=15.

The expression for the slope of the linne which is perpendicular to the given line is,

15(m')=-1

m'=-1/15.

The expression for the equation of line of the Desiree's driveway is,

y-6=(-1/15)(x-(-8))

15(y-6)=-x-8

15y-90=-x-8

15y+x-82=0

Thus, the equation of line of the Desiree's driveway is 15y+x-82.

User Moses Schwartz
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